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Finding the Third Proportional to 2,363,617.50 and 5,186,775

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Solution

The third proportional to 2,363,617.50 and 5,186,775 is: 11,381,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,617.50 : 5,186,775 = 5,186,775 : x
  2. Step 2: Convert to fraction form
    2,363,617.50/5,186,775 = 5,186,775/x
  3. Step 3: Cross multiply
    2,363,617.50x = 5,186,775 × 5,186,775
  4. Step 4: Simplify right side
    2,363,617.50x = 26,902,634,900,625
  5. Step 5: Solve for x
    x = 26,902,634,900,625/2,363,617.50
  6. Step 6: Final answer
    x = 11,381,974.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.